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Simplifying 2q + 6 = 4q + -8 Reorder the terms: 6 + 2q = 4q + -8 Reorder the terms: 6 + 2q = -8 + 4q Solving 6 + 2q = -8 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 6 + 2q + -4q = -8 + 4q + -4q Combine like terms: 2q + -4q = -2q 6 + -2q = -8 + 4q + -4q Combine like terms: 4q + -4q = 0 6 + -2q = -8 + 0 6 + -2q = -8 Add '-6' to each side of the equation. 6 + -6 + -2q = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2q = -8 + -6 -2q = -8 + -6 Combine like terms: -8 + -6 = -14 -2q = -14 Divide each side by '-2'. q = 7 Simplifying q = 7
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